A solid, uniform disk of mass M and radius a may be rotated about any axis parallel to the disk axis, at variable distances from the center of the disk.

If you use this disk as a pendulum bob, what isT (d), the period of the pendulum, if the axis is a distance d from the center of mass of thedisk? What is the distance d that makes the period a minimum? Draw this on a diagram. Explain why might the period be the smallest if the axis ofrotation is placed there.